JEE Advanced | 2015Math miscellaneousHard
Question
Let ƒ′ (x) = 
for all x ∈ 
with
= 0. If m ≤
dx ≤ M, then the possible values of m and M are
for all x ∈ with = 0. If m ≤dx ≤ M, then the possible values of m and M areOptions
A.m = 13, M = 24
B.m = 1/4, M = 1/2
C.m = −11, M = 0
D.m = 1, M = 12
Solution
f′(x) = 
16x4 - 1 ≤ f(x) ≤ 24x4 - 3/2
out of given options only option D is correct.
16x4 - 1 ≤ f(x) ≤ 24x4 - 3/2
out of given options only option D is correct.
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtai...Let P be the point (1,2,3) and Q be a point on the line . Then thevalue of λ for which line PQ is perpendicular to ...The value of is...If one root of the equation ax2 + bx + c = 0 is square of the other, then the value of b3 + ac2 + a2c is :...Let a, b, c be such that b(a + c) ≠ 0. If = 0, then the value of ′n′ is...